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Articles 1 - 30 of 61
Full-Text Articles in Physical Sciences and Mathematics
From The Editor, Issue 26, 2002, Alvin White
From The Editor, Issue 26, 2002, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
History Of Mathematics, An Intuitive Approach, Alejandro R. Garciadiego
History Of Mathematics, An Intuitive Approach, Alejandro R. Garciadiego
Humanistic Mathematics Network Journal
The main goal of this essay is to discuss, informally, an intuitive approach to the history of mathematics as an academic discipline. The initial point of departure includes the analysis of some traditional definitions of the concept of 'history' taken from standard dictionaries. This concise dissection attempts to suggest the complexity of the discipline.
Comments On Zal Usiskin's Article In The Humanistic Mathematics Network Journal For May, 2001, Robert Stein
Comments On Zal Usiskin's Article In The Humanistic Mathematics Network Journal For May, 2001, Robert Stein
Humanistic Mathematics Network Journal
No abstract provided.
Humanizing Mathematics: The Humanistic Impression In The Course For Mathematics Teaching, Ada Katsap
Humanizing Mathematics: The Humanistic Impression In The Course For Mathematics Teaching, Ada Katsap
Humanistic Mathematics Network Journal
No abstract provided.
Loopy, George W. Hart
A Brief Look At Mathematics And Theology, Philip J. Davis
A Brief Look At Mathematics And Theology, Philip J. Davis
Humanistic Mathematics Network Journal
No abstract provided.
Pat's Prologues: Introductions To The First Two Airings Of Math Medley, A Radio Talk Show, Patricia Clark Kenschaft
Pat's Prologues: Introductions To The First Two Airings Of Math Medley, A Radio Talk Show, Patricia Clark Kenschaft
Humanistic Mathematics Network Journal
No abstract provided.
Notes On Formal Constructivism, D. Joyner, P. Lejarraga
Notes On Formal Constructivism, D. Joyner, P. Lejarraga
Humanistic Mathematics Network Journal
Our aim is to sketch some ideas related to how we (as in, we two) think we (as in, we humans) think. "That theory is useless. It isn't even wrong." - Wolfgang Pauli. Our hope in this paper is to provide a theory, admittedly somewhat vague, of how we think about mathematics. We also hope our ideas do not cause the reader to be reminded of Pauli's quote above. These notes were motivated by the interesting book by Changeaux and Connes.
Calculus, Sarah Glaz
Aphorisms, Lee Goldstein
Book Review: My Dance Is Mathematics By Joanne Growney, Sally Lipsey
Book Review: My Dance Is Mathematics By Joanne Growney, Sally Lipsey
Humanistic Mathematics Network Journal
No abstract provided.
When Is A Math Problem Really "Real"?, Michael E. Goldberg
When Is A Math Problem Really "Real"?, Michael E. Goldberg
Humanistic Mathematics Network Journal
No abstract provided.
"Magic In A Box", Lacie Juris
"Magic In A Box", Lacie Juris
Humanistic Mathematics Network Journal
No abstract provided.
Book Review: The Teaching Gap By James W. Stigler And James Hiebert, Michael L. Brown
Book Review: The Teaching Gap By James W. Stigler And James Hiebert, Michael L. Brown
Humanistic Mathematics Network Journal
No abstract provided.
Portfolio Assessment In Liberal Arts Mathematics, Mike Kenyon
Portfolio Assessment In Liberal Arts Mathematics, Mike Kenyon
Humanistic Mathematics Network Journal
This paper describes my efforts to incorporate problem-solving portfolios into my liberal arts mathematics course. I begin with a description of the components of the portfolios and the factors I consider in evaluating them. I then address some of the more significant obstacles I have encountered as well as what I consider to be among the major benefits. A selection from one student’s portfolio is appended.
Marcy's Dots: A Problem On National Test Revisited, Patricia Baggett, Andrzej Ehrenfeucht
Marcy's Dots: A Problem On National Test Revisited, Patricia Baggett, Andrzej Ehrenfeucht
Humanistic Mathematics Network Journal
No abstract provided.
Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis
Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis
Humanistic Mathematics Network Journal
This paper describes a divisibility rule for any prime number as an engaging problem-solving activity for preservice secondary school mathematics teachers.
Equation Story, Whitney Perret
Equation Story, Whitney Perret
Humanistic Mathematics Network Journal
No abstract provided.
Special Section: On The Publication Of The 26th Issue Of The Humanistic Mathematics Network Journal, Sandra Z. Keith
Special Section: On The Publication Of The 26th Issue Of The Humanistic Mathematics Network Journal, Sandra Z. Keith
Humanistic Mathematics Network Journal
No abstract provided.
Does A Mathematical/Scientific Worldview Lead To A Clearer Or More Distorted View Of Reality?: Purposive Musings Inspired From Readings In The Urantia Book, The Cosmic Family, Volume I, And Elsewhere, Jeru
Humanistic Mathematics Network Journal
No abstract provided.
Teaching As Though Students Mattered: A Biography Of Alvin White As Told To Sandra Keith, Alvin White, Sandra Z. Keith
Teaching As Though Students Mattered: A Biography Of Alvin White As Told To Sandra Keith, Alvin White, Sandra Z. Keith
Humanistic Mathematics Network Journal
No abstract provided.
Humanistic Mathematics: Personal Evolution And Excavations, Stephen I. Brown
Humanistic Mathematics: Personal Evolution And Excavations, Stephen I. Brown
Humanistic Mathematics Network Journal
No abstract provided.
Letters And Comments, Issue 26, 2002, Dick Tahta
Letters And Comments, Issue 26, 2002, Dick Tahta
Humanistic Mathematics Network Journal
No abstract provided.
Four Anharmonic Oscillators On A Circle, J. N. Boyd, R. G. Hudepohl, P. N. Raychowdhury
Four Anharmonic Oscillators On A Circle, J. N. Boyd, R. G. Hudepohl, P. N. Raychowdhury
Virginia Journal of Science
Four identical, uniformly separated particles interconnected by ideal anharmonic springs are constrained to move on a fixed, frictionless circular track. The Lagrangian for the system is written and then transformed by matrix operations suggested by the symmetry of the arrangement of springs and particles. The equations of motion derived from the transformed Lagrangian yield four natural frequencies of motion.
Environmental Factors Contributing To The Disaggregation Of A Colonial Cyanoprokaryote And Its Influence On Picoplankton Abundance Within Lake Joyce, Virginia, Lewis F. Affronti Jr., B. Thomas Duquette
Environmental Factors Contributing To The Disaggregation Of A Colonial Cyanoprokaryote And Its Influence On Picoplankton Abundance Within Lake Joyce, Virginia, Lewis F. Affronti Jr., B. Thomas Duquette
Virginia Journal of Science
A colonial cyanoprokaryote, Aphanocapsa holsatica and autotrophic picoplankton abundance were monitored weekly over a two year period in Lake Joyce, Virginia. Significant differences were observed in both the cyanoprokaryote and picoplankton abundance over the study period and an inverse relationship was observed between these two plankton groups. Disaggregation of colonies was shown to contribute to picoplankton populations where water temperature and precipitation input apparently trigger colony dispersion. This relationship is suggested to occur in other aquatic habitats. Results of this work and its implications for ecosystem dynamics are discussed.
Solving Fuzzy Linear Programming Problems With Linear Membership Function, Rafail R. Gasimov, Kürşat Yeni̇lmez
Solving Fuzzy Linear Programming Problems With Linear Membership Function, Rafail R. Gasimov, Kürşat Yeni̇lmez
Turkish Journal of Mathematics
In this paper, we concentrate on two kinds of fuzzy linear programming problems: linear programming problems with only fuzzy technological coefficients and linear programming problems in which both the right-hand side and the technological coefficients are fuzzy numbers. We consider here only the case of fuzzy numbers with linear membership functions. The symmetric method of Bellman and Zadeh [2] is used for a defuzzification of these problems. The crisp problems obtained after the defuzzification are non-linear and even non-convex in general. We propose here the ``modified subgradient method'' and use it for solving these problems. We also compare the new …
Numerical Solution And Convergence Speed Of Variational Formulation For Linear Schrödinger Equation, Murat Subaşi, Bünyami̇n Yildiz
Numerical Solution And Convergence Speed Of Variational Formulation For Linear Schrödinger Equation, Murat Subaşi, Bünyami̇n Yildiz
Turkish Journal of Mathematics
This paper presents a numerical solution of an optimal control problem for linear parabolic equations. The estimates for the error of the difference scheme and the speed of convergence have been established. Numerical results are reported on test problems.
Field Extensions Having The Unique Subfield Property, And G-Cogalois Extensions, Toma Albu
Field Extensions Having The Unique Subfield Property, And G-Cogalois Extensions, Toma Albu
Turkish Journal of Mathematics
We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez (1982, J. Number Theory 15, 388-405) characterizing separable simple radical field extensions with the unique subfield property, and prove that these extensions are precisely the simple G--Cogalois extensions with a cyclic Kneser group.
Ko-Groups Of Bounded Flag Manifolds, Yusuf Ci̇van
Ko-Groups Of Bounded Flag Manifolds, Yusuf Ci̇van
Turkish Journal of Mathematics
We exhibit an appropriate suspension of bounded flag manifolds as a wedge sum of Thom complexes of associated complex line bundles. We use the existence of such a splitting to assist our computation of real and complex K-groups. Moreover, we compute the Sq^2-homology of bounded flag manifolds to make use of relevant Atiyah-Hirzebruch spectral sequence of KO-theory.
On Summand Sum And Summand Intersection Property Of Modules, Mustafa Alkan, Abdullah Harmanci
On Summand Sum And Summand Intersection Property Of Modules, Mustafa Alkan, Abdullah Harmanci
Turkish Journal of Mathematics
R will be an associative ring with identity and modules M will be unital left R- modules. In this work, extending modules and lifting modules with the SSP (or SIP) are studied. A necessary and sufficient condition for a module M to have the SSP is that for every decomposition M = A\oplus B and f\in Hom(A,B), Im(f) is a direct summand of B. Among others it is shown also that a (C_3) module with the SIP has the SSP, and a (D_3) module with SSP has the SIP.